%0 Journal Article
%T EXTRAPOLATION CASCADIC MULTIGRID METHOD(EXCMG) --- A NEW ALGORITHM FOR SOLVING LARGE SCALE ELLIPTIC PROBLEMS<br>外推瀑布多网格法(EXCMG)——-大规模求解椭圆问题的新算法
%A 胡宏伶
%A 陈传淼
%A 谢资清
%J 计算数学
%D 2009
%I 
%X Based on an asymptotic expansion of finite element solution, some new extrapolation formulas are derived, which are the exacter approximations to the finite element solution on refined grid (rather than the solution of partial differential equation). A new extrapolation cascadic multigrid method(EXCMG) is proposed based on the better initial values on refined grid provided by the new extrapolation formulas and their quadratic interpolation. The numerical experiments show that the new algorithm is of the high accuracy and efficiency. Finally a large scale elliptic problem of second order is solved in PC.
%K 瀑布多网格法
%K 有限元
%K 新外推公式
%K 二次插值
%K 大规模
%K 椭圆问题
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=7C3B368233BC9C61DD3ECE1C0967718D&yid=DE12191FBD62783C&vid=4AD960B5AD2D111A&iid=38B194292C032A66&sid=4D7D059FFBF006B9&eid=6826CBE9C80ACB20&journal_id=0254-7791&journal_name=计算数学&referenced_num=0&reference_num=17